3499291901952 has 1020 divisors, whose sum is σ = 13277903338656. Its totient is φ = 908163809280.

The previous prime is 3499291901881. The next prime is 3499291901957. The reversal of 3499291901952 is 2591091929943.

3499291901952 is a `hidden beast` number, since 3 + 499 + 2 + 9 + 1 + 90 + 1 + 9 + 52 = 666.

It is a super-3 number, since 3×3499291901952³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3499291901952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3499291901957) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2861235613 + ... + 2861236835.

Almost surely, 2^{3499291901952} is an apocalyptic number.

3499291901952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3499291901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638951669328).

3499291901952 is an abundant number, since it is smaller than the sum of its proper divisors (9778611436704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3499291901952 is an equidigital number, since it uses as much as digits as its factorization.

3499291901952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 3499291901952 in words is "three trillion, four hundred ninety-nine billion, two hundred ninety-one million, nine hundred one thousand, nine hundred fifty-two".